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Finding the Third Proportional to 134,364.56 and 194,234.06

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Solution

The third proportional to 134,364.56 and 194,234.06 is: 280,779.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,364.56 : 194,234.06 = 194,234.06 : x
  2. Step 2: Convert to fraction form
    134,364.56/194,234.06 = 194,234.06/x
  3. Step 3: Cross multiply
    134,364.56x = 194,234.06 × 194,234.06
  4. Step 4: Simplify right side
    134,364.56x = 37,726,871,035.25
  5. Step 5: Solve for x
    x = 37,726,871,035.25/134,364.56
  6. Step 6: Final answer
    x = 280,779.92

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.